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Finding the Fourth Proportional to 2,157.34, 3,235.31 and 696.15

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Solution

The fourth proportional to 2,157.34, 3,235.31 and 696.15 is: 1,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.34 : 3,235.31 = 696.15 : x
  2. Step 2: Convert to fraction form
    2,157.34/3,235.31 = 696.15/x
  3. Step 3: Cross multiply
    2,157.34x = 3,235.31 × 696.15
  4. Step 4: Simplify right side
    2,157.34x = 2,252,244.88
  5. Step 5: Solve for x
    x = 2,252,244.88/2,157.34
  6. Step 6: Final answer
    x = 1,043.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.